Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming
Song, Ruizhuo1; Wei, Qinglai2; Sun, Qiuye3; Qinglai Wei
2015-05-25
发表期刊NEUROCOMPUTING
卷号156期号:x页码:166-175
文章类型Article
摘要In this paper, a novel adaptive dynamic programming (ADP) algorithm is developed to solve the nearly optimal finite-horizon control problem for a class of deterministic nonaffine nonlinear time-delay systems. The idea is to use ADP technique to obtain the nearly optimal control which makes the optimal performance index function close to the greatest lower bound of all performance index functions within finite time. The proposed algorithm contains two cases with respective different initial iterations. In the first case, there exists control policy which makes arbitrary state of the system reach to zero in one time step. In the second case, there exists a control sequence which makes the system reach to zero in multiple time steps. The state updating is used to determine the optimal state. Convergence analysis of the performance index function is given. Furthermore, the relationship between the iteration steps and the length of the control sequence is presented. Two neural networks are used to approximate the performance index function and compute the optimal control policy for facilitating the implementation of ADP iteration algorithm. At last, two examples are used to demonstrate the effectiveness of the proposed ADP iteration algorithm. (C) 2014 Elsevier B.V. All rights reserved.
关键词Adaptive Dynamic Programming Approximate Dynamic Programming Adaptive Critic Designs Nonlinear Systems Optimal Control Time-delay
WOS标题词Science & Technology ; Technology
关键词[WOS]MULTIOBJECTIVE OPTIMAL-CONTROL ; MULTIPLE DELAYS ; LINEAR-SYSTEMS ; CONTROLLABILITY ; ALGORITHM
收录类别SCI
语种英语
WOS研究方向Computer Science
WOS类目Computer Science, Artificial Intelligence
WOS记录号WOS:000351978100020
引用统计
被引频次:11[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/8124
专题复杂系统管理与控制国家重点实验室_平行控制
通讯作者Qinglai Wei
作者单位1.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
2.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
3.Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China
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Song, Ruizhuo,Wei, Qinglai,Sun, Qiuye,et al. Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming[J]. NEUROCOMPUTING,2015,156(x):166-175.
APA Song, Ruizhuo,Wei, Qinglai,Sun, Qiuye,&Qinglai Wei.(2015).Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming.NEUROCOMPUTING,156(x),166-175.
MLA Song, Ruizhuo,et al."Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming".NEUROCOMPUTING 156.x(2015):166-175.
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